Question

a) A shopkeeper sells an item at the price of Rs 810 including sales tax of 8%. What should a customer pay for the same item if the sales tax is reduced to 6%?

b) The price of TV set inclusive of sales tax of 9% is Rs 13,407. Find its marked price. If the sales tax is increased to 13%. how much more does the customer pay for the TV?
[6 MARKS]

Answer 1

Each subpart: 3 Marks

a) Let M.P. be Rs x
Then,
$\Rightarrow 810=x+8\%ofx=x+\frac{8}{100}x$
$\Rightarrow 810=\frac{108}{100}x$
$\Rightarrow \frac{810\times 100}{108}=x$
$\Rightarrow x=750$
Amount to be paid if sales tax is reduced to 6% = $Rs750+6\%ofRs750$
$=Rs750+Rs\frac{6}{100}\times 750=Rs795$

b)
Let M.P. be Rs x
Then, 13407 = x + 9% of
$\Rightarrow 13407=x+\frac{9}{100}x$
$\Rightarrow 13407=\frac{109}{100}x$
$\Rightarrow \frac{13407\times 100}{109}=x$
$\Rightarrow$ x = 12300
Hence, marked price is Rs 12300
Sales tax = 13% of Rs 12300
$=Rs\frac{13}{100}\times 12300=Rs1599$
Amount to be paid = Rs 12300 + Rs 1599 = Rs 13899
Extra amount to be paid = Rs 13899 - Rs 13407 = Rs 492